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Life · Guided lesson

Calculate gravitational energy change

About 10 minutes · 3 reading + 7 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
See this course’s project requirements

An energy-accounting notebook explaining work, stored energy, efficiency and three heat-transfer mechanisms in supplied desk scenarios.

Keep your working files in your own notebook or software. Save a private description, checklist, and work link in My Proof.

What to include

  • Account for useful and dispersed stores within a boundary.
  • Calculate work with constant parallel force conditions.
  • Calculate gravitational energy change using supplied g and height differences.
  • Compare efficiencies with the same useful-output definition.
  • Classify three heat-transfer routes.
  • Compare supplied thermal designs with limits and complete all changed cases.

Review and revise

Use these criteria to check your work and choose what to improve.

  • Method: applies the course-specific rules to the supplied cases with visible intermediate work.
  • Accuracy: results agree with the stated facts, units, boundaries and independent checks.
  • Reasoning: explains why the result follows and identifies a limitation or unresolved question.
  • Transfer: completes changed cases and revises the final project when a relevant assumption changes.
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Before you begin

The idea in everyday life

Fictional 2 kg object moves from height 1 m to 4 m relative to the stated floor. Suppliedg=10 N/kg, and no other energy store is analyzed in this step.

The idea

Near Earth’s surface in a uniform-gravity model, gravitational energy change is ΔE=m×g×Δh. The height is a change relative to a chosen reference, not always the absolute altitude. This course suppliesg=10 N/kg as a rounded model value; it is not an exact value everywhere. Use desk scenarios, not lifting tasks.

Follow along

Calculate gravitational energy change — worked practice

Near Earth’s surface in a uniform-gravity model, gravitational energy change is ΔE=m×g×Δh. The height is a change relative to a chosen reference, not always the absolute altitude. This course suppliesg=10 N/kg as a rounded model value; it is not an exact value everywhere. Use desk scenarios, not lifting tasks.

Fictional 2 kg object moves from height 1 m to 4 m relative to the stated floor. Suppliedg=10 N/kg, and no other energy store is analyzed in this step.

  1. 1. 1. Height

    Calculate the change rather than using final height alone.

    You should see: Δh=4−1=3 m.

  2. 2. 2. Compute

    Apply m×g×Δh.

    You should see: 2×10×3=60 J increase.

  3. 3. 3. Reference

    Explain what choosing a new zero height changes.

    You should see: Absolute stored values can shift; the same three-meter height difference remains.

  4. 4. 4. Reverse

    Describe returning from 4 m to 1 m under the same model.

    You should see: Gravitational energy decreases by 60 J; other stores or transfers must account for it.

Now change one thing

Mass 3 kg rises from 2 m to 5 m with supplied g=10 N/kg. Enter energy increase in J.

Your work

What to finish

An energy-change calculation with reference and approximation notes.

Common mistake

Watch for this

Actual gravitational acceleration varies and is not exactly 10 everywhere. Keeping the supplied approximation visible makes the numerical claim honest.

How can I tell I understand it?

Recalculate a changed mass and height difference without confusing altitude with change.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1What is the supplied height change?
2What is the supplied energy increase?
3Why labelg=10 as supplied and rounded?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
3
Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

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Sources and further reading

Explore the references behind this lesson.

OpenStax: energy stores and conservation
Source & access notes · checked 2026-10-01

Web open/search showed the official page, its topic heading and relevant concept description. This is a content/source check, not a provider endorsement.

Access: Official page retrieved with the web reader on 2026-10-01; interactive tools and videos were not certified by retrieval.

Reuse: Original fictional teaching cases, calculations, questions and examples; link and short factual paraphrase only. No copied source exercises or illustrations.

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